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Finding the Fourth Proportional to 2,032.71, 2,805.89 and 1,588.83

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Solution

The fourth proportional to 2,032.71, 2,805.89 and 1,588.83 is: 2,193.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.71 : 2,805.89 = 1,588.83 : x
  2. Step 2: Convert to fraction form
    2,032.71/2,805.89 = 1,588.83/x
  3. Step 3: Cross multiply
    2,032.71x = 2,805.89 × 1,588.83
  4. Step 4: Simplify right side
    2,032.71x = 4,458,074.26
  5. Step 5: Solve for x
    x = 4,458,074.26/2,032.71
  6. Step 6: Final answer
    x = 2,193.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.